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Finding the Fourth Proportional to 7,468.71, 11,179.12 and 4,964.15

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Solution

The fourth proportional to 7,468.71, 11,179.12 and 4,964.15 is: 7,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.71 : 11,179.12 = 4,964.15 : x
  2. Step 2: Convert to fraction form
    7,468.71/11,179.12 = 4,964.15/x
  3. Step 3: Cross multiply
    7,468.71x = 11,179.12 × 4,964.15
  4. Step 4: Simplify right side
    7,468.71x = 55,494,828.55
  5. Step 5: Solve for x
    x = 55,494,828.55/7,468.71
  6. Step 6: Final answer
    x = 7,430.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.